Question

For the triangle shown on the left,

find the length of the side labeled x

find the measure of angle A in degrees

Answer 1

Explanation:

`\tan(60) = (x)/(14) \\ \\ √(3) = (x)/(14) \\ \\ x = \sqrt[14]{3}`

the measure of angel A

m < a = 90-60 = 30

Answer 2

• See below

Explanation:

For the shown triangle we use the tangent of 60° angle to find the value of x:

• tan = opposite / adjacent

• tan 60° = x/14
• √3 = x / 14
• x = 14√3

Angle A and 60° are complementary.

The measure of angle A:

• m∠A = 90° - 60° = 30°